Complex and Differential Geometry

1. Front Matter

   Pages i-ix

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2. Surfaces of general type with geometric genus zero: a survey

   • Ingrid Bauer, Fabrizio Catanese, Roberto Pignatelli

   Pages 1-48

3. Holomorphic symplectic geometry: a problem list

   • Arnaud Beauville

   Pages 49-63

4. Generalized Lagrangian mean curvature flow in Kähler manifolds that are almost Einstein

   • Tapio Behrndt

   Pages 65-79

5. Einstein metrics and preserved curvature conditions for the Ricci flow

   • Simon Brendle

   Pages 81-85

6. Differential Harnack estimates for parabolic equations

   • Xiaodong Cao, Zhou Zhang

   Pages 87-98

7. Euler characteristic of a complete intersection

   • Sławomir Cynk

   Pages 99-114

8. Cremona special sets of points in products of projective spaces

   • Igor V. Dolgachev

   Pages 115-134

9. Stable bundles and polyvector fields

   • Nigel Hitchin

   Pages 135-156

10. Buser-Sarnak invariant and projective normality of abelian varieties

    • Jun-Muk Hwang, Wing-Keung To

    Pages 157-170

11. Complete Kähler-Einstein manifolds

    • Marco Kühnel

    Pages 171-181

12. Fixed point subalgebras of Weil algebras: from geometric to algebraic questions

    • Miroslav Kureš

    Pages 183-192

13. Self-similar solutions and translating solutions

    • Yng-Ing Lee

    Pages 193-203

14. Aspects of conformal holonomy

    • Felipe Leitner

    Pages 205-233

15. Bifurcation braid monodromy of plane curves

    • Michael Lönne

    Pages 235-255

16. A survey of Torelli and monodromy results for holomorphic-symplectic varieties

    • Eyal Markman

    Pages 257-322

17. On singularities of generically immersive holomorphic maps between complex hyperbolic space forms

    • Ngaiming Mok

    Pages 323-344

18. Generically nef vector bundles and geometric applications

    • Thomas Peternell

    Pages 345-368

19. Dolbeault cohomology of nilmanifolds with left-invariant complex structure

    • Sönke Rollenske

    Pages 369-392

20. Smooth rationally connected threefolds contain all smooth curves

    • G. K. Sankaran

    Pages 393-402

This volume contains the Proceedings of the conference "Complex and Differential Geometry 2009", held at Leibniz Universität Hannover, September 14 - 18, 2009. It was the aim of this conference to bring specialists from differential geometry and (complex) algebraic geometry together and to discuss new developments in and the interaction between these fields. Correspondingly, the articles in this book cover a wide area of topics, ranging from topics in (classical) algebraic geometry through complex geometry, including (holomorphic) symplectic and poisson geometry, to differential geometry (with an emphasis on curvature flows) and topology.

• Algebraic Geometry
• Complex Geometry
• Diffential Geometry
• Kähler Geometry
• Symplectic Geometry

• , Institut für Algebraische Geometrie, Leibniz Universität Hannover, Hannover, Germany

  Wolfgang Ebeling

• FB Mathematik, Inst. Mathematik, Universität Hannover, Hannover, Germany

  Klaus Hulek

• , Institut für Differentialgeometrie, Leibniz Universität Hannover, Hannover, Germany

  Knut Smoczyk

Prof. Dr. Klaus Hulek, Leibniz Universität Hannover

Prof. Dr. Wolfgang Ebeling, Leibniz Universität Hannover

Prof. Dr. Knut Smoczyk, Leibniz Universität Hannover

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